﻿<!DOCTYPE html>
<!--[if IE]><![endif]-->
<html>

  <head>
    <meta charset="utf-8">
    <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1">
    <title>Class DenseRealSolver </title>
    <meta name="viewport" content="width=device-width">
    <meta name="title" content="Class DenseRealSolver ">
    <meta name="generator" content="docfx ">
  
    <link rel="shortcut icon" href="../api/images/favicon.ico">
    <link rel="stylesheet" href="../styles/docfx.vendor.css">
    <link rel="stylesheet" href="../styles/docfx.css">
    <link rel="stylesheet" href="../styles/main.css">
    <link href="https://fonts.googleapis.com/css?family=Roboto" rel="stylesheet"> 
    <meta property="docfx:navrel" content="../toc.html">
    <meta property="docfx:tocrel" content="toc.html">
    <script type="text/javascript" async="" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML"></script>
  
  
  
  </head>  <body data-spy="scroll" data-target="#affix" data-offset="120">
    <div id="wrapper">
      <header>

        <nav id="autocollapse" class="navbar navbar-inverse ng-scope" role="navigation">
          <div class="container">
            <div class="navbar-header">
              <button type="button" class="navbar-toggle" data-toggle="collapse" data-target="#navbar">
                <span class="sr-only">Toggle navigation</span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
              </button>

              <a class="navbar-brand" href="../index.html">
                <img id="logo" class="svg" src="../api/images/favicon.svg" alt="">
              </a>
            </div>
            <div class="collapse navbar-collapse" id="navbar">
              <form class="navbar-form navbar-right" role="search" id="search">
                <div class="form-group">
                  <input type="text" class="form-control" id="search-query" placeholder="Search" autocomplete="off">
                </div>
              </form>
            </div>
          </div>
        </nav>

        <div class="subnav navbar navbar-default">
          <div class="container hide-when-search" id="breadcrumb">
            <ul class="breadcrumb">
              <li></li>
            </ul>
          </div>
        </div>
      </header>
      <div role="main" class="container body-content hide-when-search">

        <div class="sidenav hide-when-search">
          <a class="btn toc-toggle collapse" data-toggle="collapse" href="#sidetoggle" aria-expanded="false" aria-controls="sidetoggle">Show / Hide Table of Contents</a>
          <div class="sidetoggle collapse" id="sidetoggle">
            <div id="sidetoc"></div>
          </div>
        </div>
        <div class="article row grid-right">
          <div class="col-md-10">
            <article class="content wrap" id="_content" data-uid="SpiceSharp.Algebra.DenseRealSolver">



  <h1 id="SpiceSharp_Algebra_DenseRealSolver" data-uid="SpiceSharp.Algebra.DenseRealSolver" class="text-break">Class DenseRealSolver</h1>
  <div class="markdown level0 summary"><p>Class for solving dense sets of equations with real numbers.</p>
</div>
  <div class="markdown level0 conceptual"></div>
  <div class="inheritance">
    <h5>Inheritance</h5>
    <div class="level0"><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a></div>
    <div class="level1"><a class="xref" href="SpiceSharp.ParameterSets.ParameterSet.html">ParameterSet</a></div>
    <div class="level2"><a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html">ParameterSetCollection</a></div>
    <div class="level3"><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html">PivotingSolver</a>&lt;<a class="xref" href="SpiceSharp.Algebra.IMatrix-1.html">IMatrix</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;, <a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</div>
    <div class="level4"><a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html">DenseLUSolver</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</div>
    <div class="level5"><span class="xref">DenseRealSolver</span></div>
  </div>
  <div class="implements">
    <h5>Implements</h5>
    <div><a class="xref" href="SpiceSharp.Algebra.IPivotingSolver-3.html">IPivotingSolver</a>&lt;<a class="xref" href="SpiceSharp.Algebra.IMatrix-1.html">IMatrix</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;, <a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</div>
    <div><a class="xref" href="SpiceSharp.Algebra.ISolver-1.html">ISolver</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</div>
    <div><a class="xref" href="SpiceSharp.ParameterSets.IParameterSetCollection.html">IParameterSetCollection</a></div>
    <div><a class="xref" href="SpiceSharp.ParameterSets.IParameterSet.html">IParameterSet</a></div>
    <div><a class="xref" href="SpiceSharp.ParameterSets.IParameterized-1.html">IParameterized</a>&lt;<a class="xref" href="SpiceSharp.Algebra.RookPivoting-1.html">RookPivoting</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;&gt;</div>
  </div>
  <div class="inheritedMembers">
    <h5>Inherited Members</h5>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Parameters">DenseLUSolver&lt;double&gt;.Parameters</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Precondition_SpiceSharp_Algebra_PreconditioningMethod_SpiceSharp_Algebra_IMatrix__0__SpiceSharp_Algebra_IVector__0___0__">DenseLUSolver&lt;double&gt;.Precondition(PreconditioningMethod&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Factor">DenseLUSolver&lt;double&gt;.Factor()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Factor_System_Int32_">DenseLUSolver&lt;double&gt;.Factor(int)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_OrderAndFactor">DenseLUSolver&lt;double&gt;.OrderAndFactor()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Clear">DenseLUSolver&lt;double&gt;.Clear()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_IsFactored">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.IsFactored</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_NeedsReordering">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.NeedsReordering</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Size">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Size</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Item_System_Int32_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.this[int, int]</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Item_SpiceSharp_Algebra_MatrixLocation_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.this[MatrixLocation]</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Item_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.this[int]</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Row">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Row</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Column">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Column</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Matrix">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Matrix</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Vector">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Vector</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Precondition_SpiceSharp_Algebra_PreconditioningMethod__0__1__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Precondition(PreconditioningMethod&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_SwapRows_System_Int32_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.SwapRows(int, int)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_SwapColumns_System_Int32_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.SwapColumns(int, int)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Reset">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Reset()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Clear">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Clear()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ExternalToInternal_SpiceSharp_Algebra_MatrixLocation_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ExternalToInternal(MatrixLocation)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_InternalToExternal_SpiceSharp_Algebra_MatrixLocation_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.InternalToExternal(MatrixLocation)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ToString">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ToString()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Factor">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Factor()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_OrderAndFactor">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.OrderAndFactor()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_SetParameter__1_System_String___0_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.SetParameter&lt;P&gt;(string, P)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ForwardSubstitute_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ForwardSubstitute(IVector&lt;double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_BackwardSubstitute_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.BackwardSubstitute(IVector&lt;double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ComputeDegenerateContribution_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ComputeDegenerateContribution(int)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ForwardSubstituteTransposed_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ForwardSubstituteTransposed(IVector&lt;double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_BackwardSubstituteTransposed_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.BackwardSubstituteTransposed(IVector&lt;double&gt;)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ComputeDegenerateContributionTransposed_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ComputeDegenerateContributionTransposed(int)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Degeneracy">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.Degeneracy</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_PivotSearchReduction">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.PivotSearchReduction</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_GetParameterSet__1">ParameterSetCollection.GetParameterSet&lt;P&gt;()</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_TryGetParameterSet__1___0__">ParameterSetCollection.TryGetParameterSet&lt;P&gt;(out P)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_ParameterSets">ParameterSetCollection.ParameterSets</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_SetParameter__1_System_String___0_">ParameterSetCollection.SetParameter&lt;P&gt;(string, P)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_TrySetParameter__1_System_String___0_">ParameterSetCollection.TrySetParameter&lt;P&gt;(string, P)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_GetProperty__1_System_String_">ParameterSetCollection.GetProperty&lt;P&gt;(string)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_TryGetProperty__1_System_String___0__">ParameterSetCollection.TryGetProperty&lt;P&gt;(string, out P)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_CreateParameterSetter__1_System_String_">ParameterSetCollection.CreateParameterSetter&lt;P&gt;(string)</a>
    </div>
    <div>
      <a class="xref" href="SpiceSharp.ParameterSets.ParameterSetCollection.html#SpiceSharp_ParameterSets_ParameterSetCollection_CreatePropertyGetter__1_System_String_">ParameterSetCollection.CreatePropertyGetter&lt;P&gt;(string)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">object.Equals(object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">object.Equals(object, object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode">object.GetHashCode()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype">object.GetType()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone">object.MemberwiseClone()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals">object.ReferenceEquals(object, object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.tostring">object.ToString()</a>
    </div>
  </div>
  <h6><strong>Namespace</strong>: <a class="xref" href="SpiceSharp.html">SpiceSharp</a>.<a class="xref" href="SpiceSharp.Algebra.html">Algebra</a></h6>
  <h6><strong>Assembly</strong>: SpiceSharp.dll</h6>
  <h5 id="SpiceSharp_Algebra_DenseRealSolver_syntax">Syntax</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public class DenseRealSolver : DenseLUSolver&lt;double&gt;, IPivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;, ISolver&lt;double&gt;, IParameterSetCollection, IParameterSet, IParameterized&lt;RookPivoting&lt;double&gt;&gt;</code></pre>
  </div>
  <h3 id="constructors">Constructors
</h3>
  <a id="SpiceSharp_Algebra_DenseRealSolver__ctor_" data-uid="SpiceSharp.Algebra.DenseRealSolver.#ctor*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver__ctor" data-uid="SpiceSharp.Algebra.DenseRealSolver.#ctor">DenseRealSolver()</h4>
  <div class="markdown level1 summary"><p>Initializes a new instance of the <a class="xref" href="SpiceSharp.Algebra.DenseRealSolver.html">DenseRealSolver</a> class.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public DenseRealSolver()</code></pre>
  </div>
  <a id="SpiceSharp_Algebra_DenseRealSolver__ctor_" data-uid="SpiceSharp.Algebra.DenseRealSolver.#ctor*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver__ctor_System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.#ctor(System.Int32)">DenseRealSolver(int)</h4>
  <div class="markdown level1 summary"><p>Initializes a new instance of the <a class="xref" href="SpiceSharp.Algebra.DenseRealSolver.html">DenseRealSolver</a> class.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public DenseRealSolver(int size)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">size</span></td>
        <td><p>The size.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h3 id="methods">Methods
</h3>
  <a id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstitute_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstitute*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstitute_SpiceSharp_Algebra_IVector_System_Double__" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstitute(SpiceSharp.Algebra.IVector{System.Double})">BackwardSubstitute(IVector&lt;double&gt;)</h4>
  <div class="markdown level1 summary"><p>Applies backward substitution on a factored matrix and the intermediate vector.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override void BackwardSubstitute(IVector&lt;double&gt; solution)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_BackwardSubstitute_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.BackwardSubstitute(IVector&lt;double&gt;)</a></div>
  <a id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstitute_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstitute*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstitute_SpiceSharp_Algebra_IVector_System_Double__System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstitute(SpiceSharp.Algebra.IVector{System.Double},System.Int32)">BackwardSubstitute(IVector&lt;double&gt;, int)</h4>
  <div class="markdown level1 summary"><p>Applies backward substitution.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public void BackwardSubstitute(IVector&lt;double&gt; solution, int size)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">size</span></td>
        <td><p>The maximum size.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstituteTransposed_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstituteTransposed*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstituteTransposed_SpiceSharp_Algebra_IVector_System_Double__" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstituteTransposed(SpiceSharp.Algebra.IVector{System.Double})">BackwardSubstituteTransposed(IVector&lt;double&gt;)</h4>
  <div class="markdown level1 summary"><p>Applies backward substitution on the adjoint matrix and the intermediate vector.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override void BackwardSubstituteTransposed(IVector&lt;double&gt; solution)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_BackwardSubstituteTransposed_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.BackwardSubstituteTransposed(IVector&lt;double&gt;)</a></div>
  <a id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstituteTransposed_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstituteTransposed*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_BackwardSubstituteTransposed_SpiceSharp_Algebra_IVector_System_Double__System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.BackwardSubstituteTransposed(SpiceSharp.Algebra.IVector{System.Double},System.Int32)">BackwardSubstituteTransposed(IVector&lt;double&gt;, int)</h4>
  <div class="markdown level1 summary"><p>Applies backward substitution on the adjoint matrix, but limits to the given size.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public void BackwardSubstituteTransposed(IVector&lt;double&gt; solution, int steps)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">steps</span></td>
        <td><p>The steps to substitute.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ComputeDegenerateContribution_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ComputeDegenerateContribution*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ComputeDegenerateContribution_System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ComputeDegenerateContribution(System.Int32)">ComputeDegenerateContribution(int)</h4>
  <div class="markdown level1 summary"><p>Computes a contribution for degenerate solvers (<a class="xref" href="SpiceSharp.Algebra.ISolver-1.html#SpiceSharp_Algebra_ISolver_1_Degeneracy">Degeneracy</a> is larger than 0).
Used when solving submatrices separately.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override double ComputeDegenerateContribution(int index)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">index</span></td>
        <td><p>The index.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="returns">Returns</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></td>
        <td><p>Returns the contribution.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ComputeDegenerateContribution_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ComputeDegenerateContribution(int)</a></div>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ComputeDegenerateContributionTransposed_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ComputeDegenerateContributionTransposed*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ComputeDegenerateContributionTransposed_System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ComputeDegenerateContributionTransposed(System.Int32)">ComputeDegenerateContributionTransposed(int)</h4>
  <div class="markdown level1 summary"><p>Computes a contribution of the transposed solving for degenerate solvers (<a class="xref" href="SpiceSharp.Algebra.ISolver-1.html#SpiceSharp_Algebra_ISolver_1_Degeneracy">Degeneracy</a> is larger than 0).
Used when solving submatrices separately.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override double ComputeDegenerateContributionTransposed(int index)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">index</span></td>
        <td><p>The index.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="returns">Returns</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></td>
        <td><p>Returns the contribution.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ComputeDegenerateContributionTransposed_System_Int32_">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ComputeDegenerateContributionTransposed(int)</a></div>
  <a id="SpiceSharp_Algebra_DenseRealSolver_Eliminate_" data-uid="SpiceSharp.Algebra.DenseRealSolver.Eliminate*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_Eliminate_System_Int32_System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.Eliminate(System.Int32,System.Int32)">Eliminate(int, int)</h4>
  <div class="markdown level1 summary"><p>Eliminates the submatrix right and below the pivot.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">protected override void Eliminate(int step, int size)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">step</span></td>
        <td><p>The current elimination step.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">size</span></td>
        <td><p>The maximum row/column to be eliminated.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html#SpiceSharp_Algebra_Solve_DenseLUSolver_1_Eliminate_System_Int32_System_Int32_">DenseLUSolver&lt;double&gt;.Eliminate(int, int)</a></div>
  <h5 class="exceptions">Exceptions</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Condition</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.AlgebraException.html">AlgebraException</a></td>
        <td><p>Thrown if the pivot has a magnitude of zero.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstitute_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstitute*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstitute_SpiceSharp_Algebra_IVector_System_Double__" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstitute(SpiceSharp.Algebra.IVector{System.Double})">ForwardSubstitute(IVector&lt;double&gt;)</h4>
  <div class="markdown level1 summary"><p>Applies forward substitution on a factored matrix and right-hand side vector.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override void ForwardSubstitute(IVector&lt;double&gt; solution)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ForwardSubstitute_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ForwardSubstitute(IVector&lt;double&gt;)</a></div>
  <h5 class="exceptions">Exceptions</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Condition</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentnullexception">ArgumentNullException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> is <code>null</code>.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.AlgebraException.html">AlgebraException</a></td>
        <td><p>Thrown if the solver is not factored yet.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentexception">ArgumentException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> does not have <a class="xref" href="SpiceSharp.Algebra.ISolver-1.html#SpiceSharp_Algebra_ISolver_1_Size">Size</a> elements.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstitute_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstitute*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstitute_SpiceSharp_Algebra_IVector_System_Double__System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstitute(SpiceSharp.Algebra.IVector{System.Double},System.Int32)">ForwardSubstitute(IVector&lt;double&gt;, int)</h4>
  <div class="markdown level1 summary"><p>Applies forward substitution, but limits to the given size.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public void ForwardSubstitute(IVector&lt;double&gt; solution, int size)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">size</span></td>
        <td><p>The size.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="exceptions">Exceptions</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Condition</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentnullexception">ArgumentNullException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> is <code>null</code>.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.AlgebraException.html">AlgebraException</a></td>
        <td><p>Thrown if the matrix is not yet factored.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentexception">ArgumentException</a></td>
        <td><p>Thrown if the solution vector is not of size <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Size">Size</a>.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstituteTransposed_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstituteTransposed*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstituteTransposed_SpiceSharp_Algebra_IVector_System_Double__" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstituteTransposed(SpiceSharp.Algebra.IVector{System.Double})">ForwardSubstituteTransposed(IVector&lt;double&gt;)</h4>
  <div class="markdown level1 summary"><p>Applies forward substitution on the adjoint matrix and right-hand side vector.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public override void ForwardSubstituteTransposed(IVector&lt;double&gt; solution)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="overrides">Overrides</h5>
  <div><a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_ForwardSubstituteTransposed_SpiceSharp_Algebra_IVector__2__">PivotingSolver&lt;IMatrix&lt;double&gt;, IVector&lt;double&gt;, double&gt;.ForwardSubstituteTransposed(IVector&lt;double&gt;)</a></div>
  <h5 class="exceptions">Exceptions</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Condition</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentnullexception">ArgumentNullException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> is <code>null</code>.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.AlgebraException.html">AlgebraException</a></td>
        <td><p>Thrown if the solver is not factored yet.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentexception">ArgumentException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> does not have <a class="xref" href="SpiceSharp.Algebra.ISolver-1.html#SpiceSharp_Algebra_ISolver_1_Size">Size</a> elements.</p>
</td>
      </tr>
    </tbody>
  </table>
  <a id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstituteTransposed_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstituteTransposed*"></a>
  <h4 id="SpiceSharp_Algebra_DenseRealSolver_ForwardSubstituteTransposed_SpiceSharp_Algebra_IVector_System_Double__System_Int32_" data-uid="SpiceSharp.Algebra.DenseRealSolver.ForwardSubstituteTransposed(SpiceSharp.Algebra.IVector{System.Double},System.Int32)">ForwardSubstituteTransposed(IVector&lt;double&gt;, int)</h4>
  <div class="markdown level1 summary"><p>Applies forward substitution of the adjoint matrix, but limits to the given size.</p>
</div>
  <div class="markdown level1 conceptual"></div>
  <h5 class="declaration">Declaration</h5>
  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public void ForwardSubstituteTransposed(IVector&lt;double&gt; solution, int steps)</code></pre>
  </div>
  <h5 class="parameters">Parameters</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Name</th>
        <th>Description</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.IVector-1.html">IVector</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>&gt;</td>
        <td><span class="parametername">solution</span></td>
        <td><p>The solution vector.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></td>
        <td><span class="parametername">steps</span></td>
        <td><p>The steps to substitute.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h5 class="exceptions">Exceptions</h5>
  <table class="table table-bordered table-condensed">
    <thead>
      <tr>
        <th>Type</th>
        <th>Condition</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentnullexception">ArgumentNullException</a></td>
        <td><p>Thrown if <code class="paramref">solution</code> is <code>null</code>.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="SpiceSharp.Algebra.AlgebraException.html">AlgebraException</a></td>
        <td><p>Thrown if the matrix is not yet factored.</p>
</td>
      </tr>
      <tr>
        <td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.argumentexception">ArgumentException</a></td>
        <td><p>Thrown if the solution vector is not of size <a class="xref" href="SpiceSharp.Algebra.Solve.PivotingSolver-3.html#SpiceSharp_Algebra_Solve_PivotingSolver_3_Size">Size</a>.</p>
</td>
      </tr>
    </tbody>
  </table>
  <h3 id="implements">Implements</h3>
  <div>
      <a class="xref" href="SpiceSharp.Algebra.IPivotingSolver-3.html">IPivotingSolver&lt;M, V, T&gt;</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.Algebra.ISolver-1.html">ISolver&lt;T&gt;</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.ParameterSets.IParameterSetCollection.html">IParameterSetCollection</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.ParameterSets.IParameterSet.html">IParameterSet</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.ParameterSets.IParameterized-1.html">IParameterized&lt;P&gt;</a>
  </div>
  <h3 id="extensionmethods">Extension Methods</h3>
  <div>
      <a class="xref" href="SpiceSharp.Utility.html#SpiceSharp_Utility_ThrowIfNull__1___0_System_String_">Utility.ThrowIfNull&lt;T&gt;(T, string)</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.Documentation.Documentation.html#SpiceSharp_Documentation_Documentation_ParameterValues__1_SpiceSharp_ParameterSets_IParameterSet_System_Boolean_">Documentation.ParameterValues&lt;T&gt;(IParameterSet, bool)</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.Documentation.Documentation.html#SpiceSharp_Documentation_Documentation_Parameters_SpiceSharp_ParameterSets_IParameterSet_">Documentation.Parameters(IParameterSet)</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.Documentation.Documentation.html#SpiceSharp_Documentation_Documentation_ParameterValues__1_SpiceSharp_ParameterSets_IParameterSetCollection_System_Boolean_">Documentation.ParameterValues&lt;T&gt;(IParameterSetCollection, bool)</a>
  </div>
  <div>
      <a class="xref" href="SpiceSharp.Documentation.Documentation.html#SpiceSharp_Documentation_Documentation_Parameters_SpiceSharp_ParameterSets_IParameterSetCollection_">Documentation.Parameters(IParameterSetCollection)</a>
  </div>
  <h3 id="seealso">See Also</h3>
  <div class="seealso">
      <div><a class="xref" href="SpiceSharp.Algebra.Solve.DenseLUSolver-1.html">DenseLUSolver</a>&lt;T&gt;</div>
  </div>

</article>
          </div>

          <div class="hidden-sm col-md-2" role="complementary">
            <div class="sideaffix">
              <nav class="bs-docs-sidebar hidden-print hidden-xs hidden-sm affix" id="affix">
                <h5>In this article</h5>
                <div></div>
              </nav>
            </div>
          </div>
        </div>
      </div>

      <footer>
        <div class="grad-bottom"></div>
        <div class="footer">
          <div class="container">
            <span class="pull-right">
              <a href="#top">Back to top</a>
            </span>
      
      <span>Generated by <strong>DocFX</strong></span>
          </div>
        </div>
      </footer>
    </div>

    <script type="text/javascript" src="../styles/docfx.vendor.min.js"></script>
    <script type="text/javascript" src="../styles/docfx.js"></script>
    <script type="text/javascript" src="../styles/main.js"></script>
  </body>
</html>
